距离（双）正则图具有很好的代数性质和组合结构, 它们的研究不仅在代数组合学中有重要的意义, 而且在极值组合学,设计,超图等中有重要的应用．本项目拟研究距离双正则图的Terwilliger代数；距离正则图的谱；距离正则图的子结构,及其在极值组合学,池设计和超图等中的应用．

Distance-(bi)regular graphs, which have nice algebraic property and combinatorial structures, not only play important roles in algebraic combinatorics, but also have many important applications in many areas such as extremal combinatorics, designs and hypergraphs. This project contains the following research: the Terwilliger algebra of distance-biregular graphs; spectrum of distance-regular graphs; the substructures of distance-regular graphs and their applications in extremal combinatorics, pooling designs and mixed hypergraphs.